Please recommend books on numerical approach to NLS

[hanson]

Hi all.
Could you please recommend some nice books on numerical approach to NLS or introduction to NLS in general?
I don't have a strong background in numerical methods nor any prior knowldege in NLS or quantum mechanics. So, perhaps an introductory book would be suitable at this stage.
Thanks.

 

[Astronuc]

By NLS, does one mean Non-linear Schrödinger equation, as opposed to Non-Linear Systems? If so, then these might be of interest.

Numerical Methods for the Nonlinear Schrödinger Equation with Nonzero Far-field Conditions
http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.maa/1147353060

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TY8-4F6CRJK-6&_user=10&_coverDate=11%2F01%2F2005&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=29e8201039591e56d749752d72990b90

Interesting paper
THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION - 20 YEARS ON
http://www.ma.hw.ac.uk/~chris/em02.pdf

An interesting course
Solitons and Nonlinear Waves
http://www.amath.washington.edu/courses/573-autumn-2006/


On book might be of interest -
Mathematical Modeling in Continuum Mechanics
UK - http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521617239&ss=toc
US - http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=9780521617239&ss=toc
Also available through Amazon.
http://assets.cambridge.org/97805216/17239/toc/9780521617239_toc.pdf

Chapter 20 - NLS

 

[hanson]

thanks.
but is there any more introductory level books? I am completely new to this field.